Search a number
-
+
1388493853992 = 23347437519479
BaseRepresentation
bin10100001101001000101…
…011101101010100101000
311220201221112011000110000
4110031020223231110220
5140222113411311432
62541510522023000
7202213113011610
oct24151053552450
94821845130400
101388493853992
11495947645513
121a5123947a60
13a0c1bb84b5b
144b2bc423a40
15261b7e4157c
hex14348aed528

1388493853992 has 320 divisors, whose sum is σ = 4554549964800. Its totient is φ = 386929872000.

The previous prime is 1388493853991. The next prime is 1388493854017. The reversal of 1388493853992 is 2993583948831.

1388493853992 is a `hidden beast` number, since 1 + 3 + 8 + 84 + 9 + 3 + 8 + 539 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1388493853992.

It is not an unprimeable number, because it can be changed into a prime (1388493853991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146476309 + ... + 146485787.

It is an arithmetic number, because the mean of its divisors is an integer number (14232968640).

Almost surely, 21388493853992 is an apocalyptic number.

1388493853992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1388493853992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277274982400).

1388493853992 is an abundant number, since it is smaller than the sum of its proper divisors (3166056110808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1388493853992 is a wasteful number, since it uses less digits than its factorization.

1388493853992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10285 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 1388493853992 in words is "one trillion, three hundred eighty-eight billion, four hundred ninety-three million, eight hundred fifty-three thousand, nine hundred ninety-two".